30402345040000 has 320 divisors, whose sum is σ = 78506384790240. Its totient is φ = 11715314688000.

The previous prime is 30402345039991. The next prime is 30402345040003. The reversal of 30402345040000 is 4054320403.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (30402345040003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 251059467 + ... + 251180533.

Almost surely, 2^{30402345040000} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30402345040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39253192395120).

30402345040000 is an abundant number, since it is smaller than the sum of its proper divisors (48104039750240).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

30402345040000 is an equidigital number, since it uses as much as digits as its factorization.

30402345040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121217 (or 121190 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 25.

Adding to 30402345040000 its reverse (4054320403), we get a palindrome (30406399360403).

The spelling of 30402345040000 in words is "thirty trillion, four hundred two billion, three hundred forty-five million, forty thousand".